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On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent

✍ Scribed by S. G. Samko, S. M. Umarkhadzhiev


Book ID
120748076
Publisher
SP MAIK Nauka/Interperiodica
Year
2013
Tongue
English
Weight
656 KB
Volume
93
Category
Article
ISSN
0001-4346

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The maximal operator in Lebesgue spaces
✍ Peter A. HΓ€stΓΆ πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

## Abstract This article contains results about the boundedness of the Hardy–Littlewood maximal operator in variable exponent Lebesgue spaces. We study the situation where the exponent approaches one in some parts of the domain. We show that the boundedness depends on how fast the exponent approach